An M/G/1 queue with server vacations and nongated time-limitedservice is analyzed. A functional equation which characterizes thesystem behavior is derived. The equation is solved by a numericaltechnique that approximates the unknown function by a weighted sum ofLaguerre functions with unknown coefficients. The functional equation istransformed into a set of linear equations from which the coefficientscan be computed. By the work-decomposition and Poisson arrivals see timeaverages (PASTA) properties, the average customer response time can bereadily obtained for the case of exponential service time. Numericalexamples are included to demonstrate the validity of the technique
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